What is the Least Common Multiple of 787 and 800?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 787 and 800 is 629600.
LCM(787,800) = 629600
Least Common Multiple of 787 and 800 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 787 and 800, than apply into the LCM equation.
GCF(787,800) = 1
LCM(787,800) = ( 787 × 800) / 1
LCM(787,800) = 629600 / 1
LCM(787,800) = 629600
Least Common Multiple (LCM) of 787 and 800 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 787 and 800. First we will calculate the prime factors of 787 and 800.
Prime Factorization of 787
Prime factors of 787 are 787. Prime factorization of 787 in exponential form is:
787 = 7871
Prime Factorization of 800
Prime factors of 800 are 2, 5. Prime factorization of 800 in exponential form is:
800 = 25 × 52
Now multiplying the highest exponent prime factors to calculate the LCM of 787 and 800.
LCM(787,800) = 7871 × 25 × 52
LCM(787,800) = 629600
Related Least Common Multiples of 787
- LCM of 787 and 791
- LCM of 787 and 792
- LCM of 787 and 793
- LCM of 787 and 794
- LCM of 787 and 795
- LCM of 787 and 796
- LCM of 787 and 797
- LCM of 787 and 798
- LCM of 787 and 799
- LCM of 787 and 800
- LCM of 787 and 801
- LCM of 787 and 802
- LCM of 787 and 803
- LCM of 787 and 804
- LCM of 787 and 805
- LCM of 787 and 806
- LCM of 787 and 807
Related Least Common Multiples of 800
- LCM of 800 and 804
- LCM of 800 and 805
- LCM of 800 and 806
- LCM of 800 and 807
- LCM of 800 and 808
- LCM of 800 and 809
- LCM of 800 and 810
- LCM of 800 and 811
- LCM of 800 and 812
- LCM of 800 and 813
- LCM of 800 and 814
- LCM of 800 and 815
- LCM of 800 and 816
- LCM of 800 and 817
- LCM of 800 and 818
- LCM of 800 and 819
- LCM of 800 and 820